Kazhdan-Lusztig conjecture via zastava spaces

Alexander Braverman, Michael Finkelberg, Hiraku Nakajima

Research output: Contribution to journalArticlepeer-review


We deduce the Kazhdan-Lusztig conjecture on the multiplicities of simple modules over a simple complex Lie algebra in Verma modules in category O from the equivariant geometric Satake correspondence and the analysis of torus fixed points in zastava spaces. We make similar speculations for the affine Lie algebras and W-algebras.

Original languageEnglish
JournalJournal fur die Reine und Angewandte Mathematik
Publication statusPublished - 2022


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